2. (02.01 MC) Estimate f'(-8) using the data in the table. x -13-11-9-7 f(x) 1.02 1.05 1.12 1.14 O 0.1 0.01 ○ 0.001 4. (02.02 MC) 5 y 4 3 2 1 0 -1 -2 -3 -4 5 -4-3-2-10 1 2 3 4 5 The graph of the function f(x) is shown. Which of the following could be the graph of f(x)? 3 2 1 3. (02.01 MC) -1 -2 Let h be a differentiable function with a tangent line at x = πt. The equation of the tangent line is y = -0.2x+0.5. What must be true about h and h' at x = π? -3 -4 1. h(t) = -0.1283 II. h'(n) = 0.3 III. h(0) = 0.5 I and II II and III I only Ill only 8. (02.05 MC) It is given that f(x)=3x and g(x)=- 1 3x-c 18 о -4-3-2-10 3 2 1 0 -1 -2 -3 Find some integer c such that t=2 3 2 1 -1 -2 -3 4 3 2 1 -1 -2

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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If posible explain the reason why.

2. (02.01 MC)
Estimate f'(-8) using the data in the table.
x
-13-11-9-7
f(x) 1.02 1.05 1.12 1.14
O
0.1
0.01
○ 0.001
4. (02.02 MC)
5
y
4
3
2
1
0
-1
-2
-3
-4
5
-4-3-2-10
1 2 3 4 5
The graph of the function f(x) is shown. Which of the following could be the graph of f(x)?
3
2
1
3. (02.01 MC)
-1
-2
Let h be a differentiable function with a tangent line at x = πt. The equation of the
tangent line is y = -0.2x+0.5. What must be true about h and h' at x = π?
-3
-4
1. h(t) = -0.1283
II. h'(n) = 0.3
III. h(0) = 0.5
I and II
II and III
I only
Ill only
8. (02.05 MC)
It is given that f(x)=3x
and g(x)=-
1
3x-c
18
о
-4-3-2-10
3
2
1
0
-1
-2
-3
Find some integer c such that
t=2
3
2
1
-1
-2
-3
4
3
2
1
-1
-2
Transcribed Image Text:2. (02.01 MC) Estimate f'(-8) using the data in the table. x -13-11-9-7 f(x) 1.02 1.05 1.12 1.14 O 0.1 0.01 ○ 0.001 4. (02.02 MC) 5 y 4 3 2 1 0 -1 -2 -3 -4 5 -4-3-2-10 1 2 3 4 5 The graph of the function f(x) is shown. Which of the following could be the graph of f(x)? 3 2 1 3. (02.01 MC) -1 -2 Let h be a differentiable function with a tangent line at x = πt. The equation of the tangent line is y = -0.2x+0.5. What must be true about h and h' at x = π? -3 -4 1. h(t) = -0.1283 II. h'(n) = 0.3 III. h(0) = 0.5 I and II II and III I only Ill only 8. (02.05 MC) It is given that f(x)=3x and g(x)=- 1 3x-c 18 о -4-3-2-10 3 2 1 0 -1 -2 -3 Find some integer c such that t=2 3 2 1 -1 -2 -3 4 3 2 1 -1 -2
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